Solving optimization problems with mean field methods
(1993) In Physica A: Statistical Mechanics and its Applications 200(1-4). p.570-580- Abstract
A brief review is given for the use of feed-back artificial neural networks (ANN) to obtain good approximate solutions to combinatorial optimization problems. The key element is the mean field approximation (MFT), which differs from conventional methods and "feels" its ways towards good solutions rather than fully or partly exploring different possible solutions. The methodology, which is illustrated for the graphs bisection and knapsack problems, is easily generalized to Potts systems. The latter is related to the deformable templates method, which is illustrated with the track finding problem. The mean field approximation is based on a variational principle, which also turns out to be very profitable when computing correlations in... (More)
A brief review is given for the use of feed-back artificial neural networks (ANN) to obtain good approximate solutions to combinatorial optimization problems. The key element is the mean field approximation (MFT), which differs from conventional methods and "feels" its ways towards good solutions rather than fully or partly exploring different possible solutions. The methodology, which is illustrated for the graphs bisection and knapsack problems, is easily generalized to Potts systems. The latter is related to the deformable templates method, which is illustrated with the track finding problem. The mean field approximation is based on a variational principle, which also turns out to be very profitable when computing correlations in polymers.
(Less)
- author
- Peterson, Carsten LU
- organization
- publishing date
- 1993-11-15
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physica A: Statistical Mechanics and its Applications
- volume
- 200
- issue
- 1-4
- pages
- 11 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:43949162273
- ISSN
- 0378-4371
- DOI
- 10.1016/0378-4371(93)90562-I
- language
- English
- LU publication?
- yes
- id
- a119de6b-32a3-4ae5-8fb0-ed032d2eac15
- date added to LUP
- 2019-05-14 16:05:15
- date last changed
- 2024-01-01 04:35:34
@article{a119de6b-32a3-4ae5-8fb0-ed032d2eac15, abstract = {{<p>A brief review is given for the use of feed-back artificial neural networks (ANN) to obtain good approximate solutions to combinatorial optimization problems. The key element is the mean field approximation (MFT), which differs from conventional methods and "feels" its ways towards good solutions rather than fully or partly exploring different possible solutions. The methodology, which is illustrated for the graphs bisection and knapsack problems, is easily generalized to Potts systems. The latter is related to the deformable templates method, which is illustrated with the track finding problem. The mean field approximation is based on a variational principle, which also turns out to be very profitable when computing correlations in polymers.</p>}}, author = {{Peterson, Carsten}}, issn = {{0378-4371}}, language = {{eng}}, month = {{11}}, number = {{1-4}}, pages = {{570--580}}, publisher = {{Elsevier}}, series = {{Physica A: Statistical Mechanics and its Applications}}, title = {{Solving optimization problems with mean field methods}}, url = {{http://dx.doi.org/10.1016/0378-4371(93)90562-I}}, doi = {{10.1016/0378-4371(93)90562-I}}, volume = {{200}}, year = {{1993}}, }